A flathead screwdriver version of Max's heartbreaking nestled allen wrench idea. (Had already been done unfortunately.)
Turns out there's a socket wrench version as well.
There's also been a multiple pin version of the socket wrench suggested as a screw driver here but I don't think you'd have much strength.
This would be a continuous flat piece of steel which I think you'd need to get any use standing up to the torque you'd be dealing with.
Could be available in flathead or Phillips Head, potentially both in one.
Alternatively, a simplified flathead/Phillips version could just have the phillips bits spring loaded to push out of the way when encountering a flat head slot.
I'd be surprised if somebody hasn't already thought of this but just in case, here it is.-- doctorremulac3, Dec 28 2017 Pin matrix version. only_20size_20matters [doctorremulac3, Dec 28 2017] This only for a screwdriver. https://www.telehex.ca [doctorremulac3, Dec 28 2017] random, halfbakery